Work out the average speed of the Earth in miles per hour - MES

The distance from the Earth to the Sun is 93 million miles. Assume: it takes 365 days for the Earth to travel once around the Sun and the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour

Have you ever wondered how fast the Earth moves around the Sun? This question can be fascinating for a Maths student or a curious learner seeking to study and understand our universe. The distance between Earth and the Sun is approximately 93 million miles, and it takes about 365 days for the Earth to orbit once around the Sun. Knowing these two key facts, we can work out the average speed at which the Earth travels.

In this blog post, we will explore how to calculate Earth's average speed so that you can help your friends and fellow students with your knowledge of our planet's motion, making it a perfect addition to your revision materials.

Circumference Calculation

To calculate the average speed at which the Earth moves around the Sun, we first need to determine the distance that the Earth travels during a single orbital cycle. The Earth's orbit is roughly circular, so we can use the circumference formula to calculate this distance.

The formula for circumference is

$C=2\pi r$

where C is the circumference, π is pi (approximately equal to 3.14), and r is the radius of the circle.

In this case, the radius of Earth's orbit is approximately 93 million miles. So, the circumference of Earth's orbit is:

$C=2\pi r$

$C=2\times 3.14\times 93,000,000.miles$

$C=584,520,000.miles.$

Average Speed Calculation

Now that we know the distance that the Earth travels during one orbit, we can calculate its average speed using the formula: Speed = Distance/Time ,

Since it takes approximately 365 days for the Earth to complete one orbit, we need to convert this time to hours, which gives us 8,760 hours (365 days x 24 hours per day). Thus, the average speed of the Earth is:

$Speed=\frac{Distance}{Time}$

$Speed=\frac{584,520,000.miles}{8,760.hours}$

$Speed=66,627.6.mph=66,600.mph$ (rounded to 3s.f.).

Conclusion

Key Points to Remember:

Earth-Sun Distance: The average distance from the Earth to the Sun is approximately 93 million miles.
Orbital Period: It takes about 365 days (one year) for the Earth to complete one orbit around the Sun.
Orbit Circumference: Calculated as C = 2π × 93 million miles, roughly 584,520,000 miles.
Time for Orbit: 365 days converted to 8,760 hours.
Average Speed: Approximately 66,600 mph, calculated using Speed = Distance/Time

It's incredible to think that we are moving at such a speed without even realising it. For students looking to study and understand our planetary motion, this example showcases the fascinating application of basic mathematical concepts. It's amazing how a simple study of circle formulas can help us comprehend such a significant natural phenomenon, and all this knowledge is available free to anyone.

Have you considered how this calculation can be a great revision tool or a fun fact to share in your next study session? With this knowledge, every student can now appreciate the incredible speed at which our planet travels through space, and they can access this fascinating information free of charge. Next time you watch a sunset or gaze at the stars, think of the Earth's swift journey around the Sun, a topic that can add an exciting dimension to your study and revision sessions.